Competing orders in thermally fluctuating superconductors in two dimensions

Abstract

We extend recent low temperature analyses of competing orders in the cuprate superconductors to the pseudogap regime where all orders are fluctuating. A universal continuum limit of a classical Ginzburg-Landau functional is used to characterize fluctuations of the superconducting order: this describes the crossover from Gaussian fluctuations at high temperatures to the vortex-binding physics near the onset of global phase coherence. These fluctuations induce affiliated corrections in the correlations of other orders, and in particular, in the different realizations of charge order. Implications for scanning tunnelling spectroscopy and neutron scattering experiments are noted: there may be a regime of temperatures near the onset of superconductivity where the charge order is enhanced with increasing temperatures.

16 pages, 3 figures; (v2) typos corrected; (v3) changed title and added a few clarifications

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• Muon Spin Relaxation Studies of Magnetic-Field-Induced Effects in High-$T_c$ Superconductors
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• Multiple Gaps and Superfluid Density from Interband Pairing in Iron Oxypnictides
• STM/STS Study on 4a X 4a Electronic Charge Order of Superconducting Bi2Sr2CaCu2O8+d
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• STM/STS Study on 4a X 4a Electronic Charge Order and Inhomogeneous Pairing Gap in Superconducting Bi2Sr2CaCu2O8+d
• Dimensional Crossover of Charge-Density Wave Correlations in the Cuprates
• Magnetic field-enhanced spin freezing in YBa2Cu3O6.45 at the verge of the competition between superconductivity and charge order
• Fluctuating orders and quenched randomness in the cuprates
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• Complementary Pair Density Wave and d-wave Checkerboard Order in High Temperature Superconductors
• Large magnetic field-induced spectral weight enhancement of high-energy spin excitations in $L{a}_{1.88}S{r}_{0.12}Cu{O}_4$
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• Diamagnetism and density wave order in the pseudogap regime of YBa${}_2$Cu${}_3$O${}_{6+x}$
• Evidences for interaction-induced Haldane fractional exclusion statistics in one and higher dimensions
• Local spin-density-wave order inside vortex cores in multiband superconductors
• Ferromagnetic exchange field stabilized antiferromagnetic ordering in a cuprate superconductor